Prime Jordan algebras and the Kantor construction

DOI10.1007/BF00739413zbMath0826.17037OpenAlexW2022608760MaRDI QIDQ1892818

V. G. Skosyrskij

Publication date: 26 June 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187688

zbMATH Keywords

Kantor constructionprime Jordan algebrasabsolute zero divisorsJordan superalgebra of Poisson brackets

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50)

Related Items (12)

Proper identities of finitely generated commutative alternative algebras ⋮ Isotopes of the alternative Monster and the Skosyrskiĭ algebra ⋮ Multiplicative semiprimeness of strongly semiprime non-commutative Jordan algebras ⋮ Embedding of Jordan superalgebras into the superalgebras of Jordan brackets ⋮ The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere ⋮ Identities of prime alternative algebras ⋮ Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type ⋮ Structure of some unital simple Jordan superalgebras with associative even part ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Prime algebras connected with monsters ⋮ Prime quotients of Jordan systems and Lie algebras ⋮ Speciality of Jordan superalgebras related to Novikov-Poisson algebras

Cites Work

• On Finitely Generated Subgroups of Free Products
• Coset Representations in Free Groups
• Unnamed Item

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